What is the value of (Cos267o - sin2 23o)?
Cos2 67° - sin223°
as cos (90° - θ) = sin θ
Let θ = 23°
cos (90° - 23°) = sin 23°
cos 67° = sin 23°
∴ cos267° = sin223°
∴ cos267° = sin223° = 0
In an AP, if the common difference (d) = –4, and the seventh term (a7) is 4, then find the first term.
Two different dice are tossed together. Find the probability:
(i) of getting a doublet
(ii) of getting a sum 10, of the numbers on the two dice.
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.
An integer is chosen at random between 1 and 100. Find the probability that it is :
(i) divisible by 8
(ii) not divisible by 8